13133005512 has 128 divisors (see below), whose sum is σ = 37970985600. Its totient is φ = 3740979200.

The previous prime is 13133005507. The next prime is 13133005517. The reversal of 13133005512 is 21550033131.

It is an interprime number because it is at equal distance from previous prime (13133005507) and next prime (13133005517).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13133005517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5514562 + ... + 5516942.

It is an arithmetic number, because the mean of its divisors is an integer number (296648325).

Almost surely, 2^13133005512 is an apocalyptic number.

13133005512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133005512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18985492800).

13133005512 is an abundant number, since it is smaller than the sum of its proper divisors (24837980088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13133005512 is a wasteful number, since it uses less digits than its factorization.

13133005512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3647 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13133005512 its reverse (21550033131), we get a palindrome (34683038643).

The spelling of 13133005512 in words is "thirteen billion, one hundred thirty-three million, five thousand, five hundred twelve".